Numerical methods for the Bidomain and reduced models

Emiliano Cristiani, Benedetto Piccoli, Andrea Tosin

Research output: Contribution to journalArticlepeer-review

Abstract

In this chapter, we review themain numerical techniques used in the literature for the space and time discretizations of the Monodomain and Bidomain cardiac models. Then we present a Bidomain discretization based on the finite element method in space and finite difference methods in time. The latter can be fully implicit or semi-implicit, and can employ decoupling techniques and operator splitting methods between the ordinary and partial differential equation components of the cardiac models. The chapter is concluded by a review of numerical methods for the eikonal-diffusion equation.

Original languageEnglish (US)
Pages (from-to)191-206
Number of pages16
JournalModeling, Simulation and Applications
Volume13
DOIs
StatePublished - Jan 1 2014

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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